What are the solutions to the equation x^2-7x=-3 ?

The solutions to the equation x^2-7x=-3 are x=(7+sqrt(37))/2 ,x=(7-sqrt(37))/2

Find the zeros of x^2-7x=-3

The zeros of x^2-7x=-3 are x=(7+sqrt(37))/2 ,x=(7-sqrt(37))/2

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x^{2} - 7 x = - 3

x = \frac{7 + 37}{2}, x = \frac{7 - 37}{2}

Decimal Notation

x = 6.54138 \dots, x = 0.45861 \dots

Solution steps

x^{2} - 7 x = - 3

Move

3

to the left side

x^{2} - 7 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 3}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot 3 = 37

x_{1, 2} = \frac{- ( - 7 ) \pm 37}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 37}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 37}{2 \cdot 1}

x = \frac{- ( - 7 ) + 37}{2 \cdot 1} : \frac{7 + 37}{2}

x = \frac{- ( - 7 ) - 37}{2 \cdot 1} : \frac{7 - 37}{2}

The solutions to the quadratic equation are:

x = \frac{7 + 37}{2}, x = \frac{7 - 37}{2}

5 p^{2} - 14 p = 24

(x) = 300 - x + \frac{( x - 100 ) ^{2}}{250}

x^{2} + (x + 3)^{2} = 225

3 x^{2} - 18 x + 14 x = 33

x, f = s g n (x^{2} - 1)

What are the solutions to the equation x^2-7x=-3 ?
The solutions to the equation x^2-7x=-3 are x=(7+sqrt(37))/2 ,x=(7-sqrt(37))/2
Find the zeros of x^2-7x=-3
The zeros of x^2-7x=-3 are x=(7+sqrt(37))/2 ,x=(7-sqrt(37))/2